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相关概念视频

Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

30.5K
Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
30.5K
Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

Crystal Field Theory - Tetrahedral and Square Planar Complexes

48.0K
Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
48.0K
Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

11.3K
The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...
11.3K
Molecular and Ionic Solids02:54

Molecular and Ionic Solids

19.8K
Crystalline solids are divided into four types: molecular, ionic, metallic, and covalent network based on the type of constituent units and their interparticle interactions.
Molecular Solids
Molecular crystalline solids, such as ice, sucrose (table sugar), and iodine, are solids that are composed of neutral molecules as their constituent units. These molecules are held together by weak intermolecular forces such as London dispersion forces, dipole-dipole interactions, or hydrogen bonds, which...
19.8K
Structures of Solids02:22

Structures of Solids

17.4K
Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
17.4K
X-ray Crystallography02:18

X-ray Crystallography

25.7K
The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...
25.7K

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相关实验视频

Updated: Jan 11, 2026

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
08:55

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses

Published on: June 7, 2018

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对于异常大厅晶体的λ-凝模型.

Tomohiro Soejima1, Junkai Dong1,2, Ashvin Vishwanath1

  • 1Harvard University, Department of Physics, Cambridge, Massachusetts 02138, USA.

Physical review letters
|November 17, 2025
PubMed
概括

我们介绍了 λ-凝,这是一个探索贝里曲率的模型.

科学领域:

  • 凝聚物质物理学 凝聚物质物理学
  • 量子几何学的量子几何学
  • 拓学物质是一个拓学物质.

背景情况:

  • 标准的凝模型表现出金属和维格纳晶相.
  • 它消失的贝里曲率限制了对强相互作用和量子几何学系统的研究.
  • 异常的霍尔晶体 (AHC) 是一个具有非零的切尔恩数的拓维格纳晶体变体.

研究的目的:

  • 介绍 λ-凝,这是凝模型的一个可调的扩展.
  • 系统地探索贝里曲率对电子结晶的影响.
  • 研究相互作用电子的相位图与非碎的量子几何学.

主要方法:

  • 自相一致的哈特里-福克计算.
  • 对λ-模型的相位图分析.
  • 由贝里曲率驱动的电子结晶的探索.

主要成果:

  • 在相位图中,AHC阶段是广泛的.
  • 确定了两个不同的维格纳晶相和两个费米液相.
  • 观察到AHC和维格纳晶相之间的连续相位过渡.
  • 在AHC阶段的部分部分发现了非三角格子几何形状.

更多相关视频

Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials
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Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials

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Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
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Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Published on: September 26, 2014

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相关实验视频

Last Updated: Jan 11, 2026

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
08:55

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses

Published on: June 7, 2018

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Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials
10:36

Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials

Published on: January 21, 2016

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Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
10:35

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Published on: September 26, 2014

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结论:

  • λ-模型提供了一个可调的平台,用于研究具有贝里曲率的电子系统.
  • 量子几何学显著影响电子结晶和相变.
  • 该模型作为拓凝聚物质高级数值研究的基础.